Question

If a+b=10 and a2+b2=528. Find a3+b3

Answer 1

Answer:

5280

Step-by-step explanation:

$(a + b)^{3} = (a+b)^{2}(a+b)\\528 * 10 =5280$

Answer 2

Answer:

Step-by-step explanation:

a+b= 10

a²+b²=528

(a+b)²= a²+b²+2ab

2ab= 10²-528

ab = (100-528)/2

ab= -428 / 2 = -214

(a+b)³ = a³+ b³ + 3ab(a+b)

10³= a³+b³+3(-214)(10)

1000 = a³+b³ - 6420

a³+b³= 1000+6420

a³+b³= 7420

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